Complex Analysis 12: Zeros and Poles

Zeroes and Poles

[licoricelover]

These videos are great! Cheers from Halifax, Canada!

[CrushOfSiel]

Thank you for the very good video. I was a tad confused on how to look at a function and just know the order of zeros and poles. Now I see that it is pretty easy.

[mnada]

Thank you very much, your lesson is so dense and to the point.

[allanramos]

In example 3, don't exp(2iπ/3), and exp(-2iπ/3) = 1 anyways? Why do we have to restate them??

[groupmi]

can anyone explain why example 3 has pole of order 2 at z=1. thanks for the video!

[andyshow]

Dear Prof, it gets very tricky for noticing by definition that the "order of pole of p" does exist for the "limit" of f(p) is (not) zero for then could we say that the "pole" is "non-essential"...! I think it sounds right to me... would you agree? *Because if it is "essential", then it wouldn't be a "pole" which also means that we can find the "limit" of f(p) to be defined at zero at the order of p.

[delildogan]

I find that these videos are very well planned and coordinated thank you from Toronto

[jing-chingchen]

Hello professor could you help explain why the quadratic equation of the bode plot has
arctan (1/2(W/Wo)^2) = -180 degree ?? thanks!!

[italktoomuch]

You manage to make the letter f and the letter z both look like the letter t. How?

[sakshigupta]

Please give examples of exponential function

[vipuljha]

Thanx a tonne!! Was a huge help for me!!

[sanketdas]

what will be the pole of 1+(1/√z)and what will be order also?

[Mojito]

Can someone explain example 3. The zeros of [(z^3 - 1)]^3